1) The hypothesis test

H0: 65.6

H1: < 65.6 is to be carried out for a population where is known. A random sample of 26 yields x=62.9 and the test statistic is found to be z=1.07557442864848. What is the standard deviation of the population?

= ______________________

2)Suppose that you are to conduct the following hypothesis test:

H0: 12 = 0

H1: 12 0

Information about the samples is given below.

n1=20, x1=223.8, s1=16.3

n2=11, x2=216.3 s2=17.3

Determine each of the following:

The value of the test statistic: ______________________

For = 0.15, the final conclusion is

A. There is not enough evidence to say that 120. B. There is enough evidence to say that 12=0 C. There is not enough evidence to say that 12=0 D. There is enough evidence to say that 120

3)The hypothesis test

H0: 86.1

H1: > 86.1 is to be carried out for a population where is known to be 19. A random sample of 24 yields the test statistic of z=0.954011794557659. What was the mean of the sample?

x = ____________________

4) Select the correct null hypothesis, H0, and alternative hypothesis, Ha, in symbolic form.

Independent samples are taken from two populations for which 1 and 2 are known. A hypothesis test is conducted to see if the population means differ by 3 or not. A. H0:12=3, Ha:123 B. H0:120, Ha:12>0 C. H0:tc=3, Ha:tc3 D. H0:12zc, Ha:12>zc E. H0:12=0, Ha:120 F. H0:zc=3, Ha:zc3

5)Type I error is:

A. Deciding the alternative hypothesis is false when it is true B. Deciding the alternative hypothesis is true when it is true C. Deciding the null hypothesis is true when it is false D. Deciding the null hypothesis is false when it is true E. All of the above F. None of the above

Type II error is:

A. Deciding the null hypothesis is false when it is true B. Deciding the null hypothesis is true when it is false C. Deciding the alternative hypothesis is true when it is false D. Deciding the alternative hypothesis is false when it is false E. All of the above F. None of the above